Alan Beardon

from Wikipedia, the free encyclopedia

Alan Frank Beardon (born April 16, 1940 ) is a British mathematician who deals with analysis and geometric applications of groups.

Alan Beardon, Oberwolfach 1988

Beardon received his PhD in 1964 under Walter Hayman from Imperial College London . He was a professor of function theory at Cambridge University . In 2007 he retired.

He deals with geometric questions from complex analysis such as the iteration of rational functions ( Julia set ) and discrete groups of Möbius transformations (Klein groups). He also wrote textbooks about it. In 1991, together with Kenneth Stephenson, he proved a discrete version of Schwarz and Pick's lemma for circular packing and a corresponding uniformization theorem (after William Thurston had already introduced a discrete version of Riemann's mapping theorem with circular packing in 1985).

Samuel Patterson is one of his PhD students . In 1997 he received the Lester Randolph Ford Award for Sums of powers of integers , and in 2017 the G. de B. Robinson Award for Non-discrete Frieze Groups .

Fonts

  • Creative Mathematics - a gateway to research , Cambridge University Press, 2009
  • Algebra and Geometry , Cambridge University Press, 2005
  • Iteration of rational functions. Complex analytic dynamical systems , Graduate Texts in Mathematics, Springer Verlag, 1991
  • Limits: a new approach to real analysis , Undergraduate Texts in Mathematics, Springer Verlag, 1997
  • Complex analysis: the argument principle in analysis and topology , Wiley, 1979
  • The geometry of discrete groups , Graduate Texts in Mathematics, Springer Verlag, 1983, 1995
  • A primer on Riemann Surfaces , Cambridge University Press, 1984

Web links

Individual evidence

  1. Alan Beardon in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used Template: MathGenealogyProject / Maintenance / name used
  2. Beardon: The Hausdorff Dimension of singular sets of properly discontinuous groups , American J. Math., Volume 88, 1966, p. 722
  3. Beardon, Stephenson The Schwarz-Pick Lemma for circle packings , Illinois J. Math., Vol. 35, 1991, p. 577, Beardon, Stephenson The uniformization theorem for circle packings , Indiana Univ. Math. J., Volume 39, 1990, p. 1383, see K. Stephenson Circle packing - a mathematical tale , Notices AMS, Volume 50, No. 11, 2003
  4. ^ American Mathematical Monthly, March 1996